Shifting the phase of a coherent beam with a ${}^{174}$Yb${}^{+}$ ion: influence of the scattering cross section

Abstract

We discuss and measure the phase shift imposed onto a radially polarized light beam when focusing it onto an ${}^{174}{\text{Yb}}^{+}$ ion. In the derivation of the expected phase shifts we include the properties of the involved atomic levels. Furthermore, we emphasize the importance of the scattering cross section and its relation to the efficiency for coupling the focused light to an atom. The phase shifts found in the experiment are compatible with the expected ones when accounting for known deficiencies of the focusing optics and the motion of the trapped ion at the Doppler limit of laser cooling.

typos corrected, doi and journal ref. added

References in corpus (8)

• Manipulation and Detection of a Trapped Yb+ Ion Hyperfine Qubit
• Perfect Reflection of Light by an Oscillating Dipole
• Design of a mode converter for efficient light-atom coupling in free space
• Phase shift of a weak coherent beam induced by a single atom
• Generation of a wave packet tailored to efficient free space excitation of a single atom
• Three-dimensional laser cooling at the Doppler limit
• Lenses as an Atom-Photon Interface: A Semiclassical Model
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